Information on Result #1010595
Linear OOA(3141, 3188753, F3, 3, 11) (dual of [(3188753, 3), 9566118, 12]-NRT-code), using (u, u+v)-construction based on
- linear OOA(313, 103, F3, 3, 5) (dual of [(103, 3), 296, 6]-NRT-code), using
- extracting embedded OOA [i] based on digital (8, 13, 103)-net over F3, using
- linear OOA(3128, 3188650, F3, 3, 11) (dual of [(3188650, 3), 9565822, 12]-NRT-code), using
- trace code [i] based on linear OOA(964, 1594325, F9, 3, 11) (dual of [(1594325, 3), 4782911, 12]-NRT-code), using
- OOA 3-folding [i] based on linear OA(964, 4782975, F9, 11) (dual of [4782975, 4782911, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(964, 4782976, F9, 11) (dual of [4782976, 4782912, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
- linear OA(964, 4782969, F9, 11) (dual of [4782969, 4782905, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(957, 4782969, F9, 10) (dual of [4782969, 4782912, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(90, 7, F9, 0) (dual of [7, 7, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
- discarding factors / shortening the dual code based on linear OA(964, 4782976, F9, 11) (dual of [4782976, 4782912, 12]-code), using
- OOA 3-folding [i] based on linear OA(964, 4782975, F9, 11) (dual of [4782975, 4782911, 12]-code), using
- trace code [i] based on linear OOA(964, 1594325, F9, 3, 11) (dual of [(1594325, 3), 4782911, 12]-NRT-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(3142, 3188753, F3, 3, 11) (dual of [(3188753, 3), 9566117, 12]-NRT-code) | [i] | OOA Duplication | |